排序方式: 共有76条查询结果,搜索用时 15 毫秒
1.
A. J. Zaslavski 《Journal of Optimization Theory and Applications》2004,123(3):695-712
In our previous work, a generic well-posedness result (with respect to variations of the integrand of the integral functional) without the convexity condition was established for a class of optimal control problems satisfying the Cesari growth condition. In this paper, we extend this generic well-posedness result to classes of constrained variational problems in which the values at the endpoints and constraint maps are also subject to variations. 相似文献
2.
3.
Alexander J. Zaslavski 《Journal of Mathematical Analysis and Applications》2007,335(2):962-973
The Tonelli existence theorem in the calculus of variations and its subsequent modifications were established for integrands f which satisfy convexity and growth conditions. In this paper we consider a large class of optimal control problems which is identified with a complete metric space of integrands without convexity assumptions and show that for a generic integrand the corresponding optimal control problem possesses a unique solution and this solution is Lipschitzian. 相似文献
4.
Evgeniy Pustylnik Simeon Reich Alexander J. Zaslavski 《Journal of Approximation Theory》2012,164(5):611-624
We provide sufficient conditions for strong and uniform (on bounded subsets of initial points) convergence of infinite products of orthogonal projections and other (possibly nonlinear) nonexpansive operators in a Hilbert space. Our main tools are new estimates of the inclination of a finite tuple of closed linear subspaces. 相似文献
5.
Simeon Reich Alexander J. Zaslavski 《Journal of Fixed Point Theory and Applications》2010,8(2):395-403
We use the concept of porosity in order to establish a generic stable convergence theorem for infinite products of nonexpansive
mappings in Banach spaces. 相似文献
6.
We present several results concerning the asymptotic behavior of (random) infinite products of generic sequences of positive linear operators on an ordered Banach space. In addition to a weak ergodic theorem we also obtain convergence to an operator of the formf(·) wheref is a continuous linear functional and is a common fixed point. 相似文献
7.
A. J. Zaslavski 《Journal of Optimization Theory and Applications》2013,157(3):803-819
In the present paper, we use subgradient projection algorithms for solving convex feasibility problems. We show that almost all iterates, generated by a subgradient projection algorithm in a Hilbert space, are approximate solutions. Moreover, we obtain an estimate of the number of iterates which are not approximate solutions. In a finite-dimensional case, we study the behavior of the subgradient projection algorithm in the presence of computational errors. Provided computational errors are bounded, we prove that our subgradient projection algorithm generates a good approximate solution after a certain number of iterates. 相似文献
8.
Alexander J. Zaslavski 《Set-Valued and Variational Analysis》2011,19(4):589-608
We study the local convergence of a proximal point method in a metric space under the presence of computational errors. We
show that the proximal point method generates a good approximate solution if the sequence of computational errors is bounded
from above by some constant. The principle assumption is a local error bound condition which relates the growth of an objective
function to the distance to the set of minimizers introduced by Hager and Zhang (SIAM J Control Optim 46:1683–1704, 2007). 相似文献
9.
Alexander J. Zaslavski 《Set-Valued and Variational Analysis》2008,16(5-6):673-691
In this paper we use the penalty approach in order to study two constrained minimization problems. A penalty function is said to have the generalized exact penalty property if there is a penalty coefficient for which approximate solutions of the unconstrained penalized problem are close enough to approximate solutions of the corresponding constrained problem. In this paper we show that the generalized exact penalty property is stable under perturbations of cost functions, constraint functions and the right-hand side of constraints. 相似文献
10.
In this paper we study the limiting behavior of the value-function for one-dimensional second order variational problems arising in continuum mechanics. The study of this behavior is based on the relation between variational problems on bounded large intervals and a limiting problem on [0,∞). 相似文献